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Theorem getba-neq-01

⊦ st1[r -- i1 '] .byteval ≠ st1[r1 -- i1 '] .byteval ∧ 0 ≤ i ∧ i ≤ i1 ∧ i1 < i + j ∧ 0 < j → getbytearray(r, i, j, st1) ≠ getbytearray(r1, i, j, st1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: getba-neq,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: bar-empty-01, getbar-rec,
Used spec theorems:
- Used simplifier rules:
  - intnat/abs-pred
  - int-abs/sub-ls-01
  - int-abs/lels
  - int-abs/bet
  - int-abs/lels-01
  - int-abs/lels-04
  - int-abs/numle-02
  - int-abs/numleledel-01
  - int-abs/Sub-def
  - int-abs/lels-03
  - int-abs/succ-01
  - int-abs/anti
  - int-abs/sub-eq-01
  - int-abs/succ-02
  - int-abs/numls-02
  - int-abs/mone-06
  - int-abs/zero-gels-04
  - list/bytelist/in-17
  - list/bytelist/in-append
  - list/bytelist/c-06
  - list/bytelist/a
  - list/bytelist/in-14
  - list/bytelist/c
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/add-less
  - int-abs/forward-le-01
  - int-abs/forward-lels
  - int-abs/forward-le-05